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2 years ago

What is the 10th term in the geometric sequence? 3,-9,27,-81

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

5 0

Answer:

-59049

Step-by-step explanation:

Find the common ratio

3 * r = -9

r = -3

from first to 10th is 9 ratios

3 * (-3)^9 = -59049

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On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater

Juliette [100K]

Answer:

Option D: $12\frac{1}{2}$ is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to $7\frac{1}{2}$ miles

We will find the unit rate in term of inches.

$\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch$

Total distance covered by Bonnie according to map;

Total distance = $\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}$

Total distance = $\frac{5}{4}\ miles$

Actual distance = $\frac{5}{4}*10 = \frac{25}{2}\ miles \\$

Actual distance = $12\frac{1}{2}\ miles$

Hence,

Option D: $12\frac{1}{2}$ is the correct answer.

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3 years ago

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. If he has 18 shirts, how many pai

Shtirlitz [24]

The ratio, simplify it
12shirts:6jeans
12/6=2/1
or
2shirts:1jean

18shirts
18/2=9

2shirts times 9=18shirst
2shirts:1jean times 9:9=18shirts:9jeans
answer is 9 pairs of jeans

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3 years ago

How does the speed of one car relative to the other compare with speed of the car relative to the ground?

yulyashka [42]

(n-1)-3 = (3n)/2 This is the equation used to represent the information given

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3 years ago

A florist arranges 4 flower arrangements in 92 minutes.

Black_prince [1.1K]

Answer:

$\boxed {\boxed {\sf 9 \ arrangements }}$

Step-by-step explanation:

Let's set up a proportion using the following setup:

$\frac{arrangements}{minutes} =\frac{arrangements}{minutes}$

We know that the florist can arrange 4 in 92 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}$

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

$\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}$

$\frac{4}{92} =\frac{x}{207}$

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

$207*\frac{4}{92}=\frac{x}{207}*207$

$207*\frac{4}{92}=x$

$207*0.0434782609=x$

$9=x$

The florist can arrange <u>9 arrangements</u> in 207 minutes.

5 0

3 years ago

Last day I can do this test

avanturin [10]

Answer:

Had the same question, the answer was d

Step-by-step explanation:

Hope it helps!

7 0

2 years ago

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